USE db_name
      The USE 
      statement tells MySQL to use the
      db_namedb_name database as the default
      (current) database for subsequent statements. The database remains
      the default until the end of the session or another
      USE statement is issued:
    
USE db1; SELECT COUNT(*) FROM mytable; # selects from db1.mytable USE db2; SELECT COUNT(*) FROM mytable; # selects from db2.mytable
      Making a particular database the default by means of the
      USE statement does not preclude you
      from accessing tables in other databases. The following example
      accesses the author table from the
      db1 database and the editor
      table from the db2 database:
    
USE db1; SELECT author_name,editor_name FROM author,db2.editor WHERE author.editor_id = db2.editor.editor_id;
      The USE statement is provided for
      compatibility with Sybase.
    


User Comments
This query will return the name of the current database and NULL if no database is selected.
SELECT DATABASE();
To see the list of databases that you can use with the USE command, do
SHOW DATABASES;
If you want to get back to the condition of having no default database then do something like the following:
mysql> CREATE DATABASE SomeWeirdName;
mysql> USE SomeWeirdName;
mysql> DROP SomeWeirdName;
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